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Finding the Fourth Proportional to 51,482, 71,044.68 and 29,126

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Solution

The fourth proportional to 51,482, 71,044.68 and 29,126 is: 40,193.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,482 : 71,044.68 = 29,126 : x
  2. Step 2: Convert to fraction form
    51,482/71,044.68 = 29,126/x
  3. Step 3: Cross multiply
    51,482x = 71,044.68 × 29,126
  4. Step 4: Simplify right side
    51,482x = 2,069,247,349.68
  5. Step 5: Solve for x
    x = 2,069,247,349.68/51,482
  6. Step 6: Final answer
    x = 40,193.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.